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1.Rg7 Kg7 2.Qh6 Kg8 3.Bg5 Rg4 4.hg4…. 5.Bf6 …. 6.Qg7/Qh8
After 1.Rg7 Kg7 2.Qh6 Kg8 3.Bg5,
black best reply is f6.
4.Bxf6 Re7 prevent mate on g7.
5.Qh8+/Qg6+ Kf7/Kf8
6.Qg7+/Qh6+ Ke8 escape.
White should play Bxh6+ after 1.Rg7Kg7.All black king’s moves will lead to mate at most in 6.
Let’s examine:
2.___ Kf6 3.Qg5#
2.___ Kh7
3.Bg5+ Kg7 4.Qh6+ Kg8
5.Bf6 … 6.Qg7#/Qh8#
2.___ Kh7
3.Bg5+ Kg8 4.Bf6 Rh4
5.Qxh4… 6.Qh8#
2.___ Kg8
3.Qg5+ Kh7/Kh8 4.Qg7#
2.___ Kh8
3.Bg5+ (same as 2nd or 3rd line)
1.Rg7+ KxR
2.BxP+ Kh8
[(2…Kg7 3.Qg5+ mates) 2….Kh7 3.Bg5+ kg7 (3….kg8 4.Bf6 and mate on h8) 4.Qh6+ Kg8 5.Bf6 followed by 6.Qg7 or Qh8#)
3.Bg5+ Kg7
4.Qh6+ Kg8
5.Bf6 black moves
6. Qg7 or Qh8#
BTW I don’t think Anon’s 1:57:00 AM line works ’cause after
3.Bg5 black plays f6!
and white has two lines
4. Qg6+ & 4. BxF6
4.Qg6+ Kf8
5.Qxf6+ (5. Bh6+ kd7 and black is able to escape) Kg8 and white has tp make perpetual with 6.Qg6+ since 6.Bh6 then Re7 and black is winning.
and
4.Bf6 Re7
5.Qh8 Kf7
6.Qg7 Ke8
and black king escapes.
Yes..correct is
1.Rxg7+ Kxg7
2. Bxh6+ and black is doomed soon.
Yes..correct is
1.Rxg7+ Kxg7
2. Bxh6+ and black is doomed soon.